Answer:
x = 1 y = 0
Step-by-step explanation:
-8x + y = -8
6x - y = 6
y have the same coefficient but one is negative and the other is positive therefore we add both the equations
we get:
-2x = -2
divide both sides by -2
x = 1
now as we have the value of x we can input this into any one of the starting equations
-8x + y =-8
-8(1) +y = -8
-8 + y = -8
add 8 to both sides
y = 0
Answer:
(1, 0 )
Step-by-step explanation:
- 8x + y = - 8 → (1)
6x - y = 6 → (2)
adding (1) and (2) term by term will eliminate y
- 2x + 0 = - 2
- 2x = - 2 ( divide both sides by - 2 )
x = 1
substitute x = 1 into either of the 2 equations and solve for y
substituting into (1)
- 8(1) + y = - 8
- 8 + y = - 8 ( add 8 to both sides )
y = 0
solution is (1, 0 )
what is the difference between 6x2 and 6²
Answer:
6x2 is multiplying 6 by 2 while 6² is said as '6 squared' meaning 6x6.
Step-by-step explanation:
6x2 is basic multiplication of 6x2 while 6² means we should completed 6x6.
Which graph is not a function?
Please help me!!!
Answer:
First one
Step-by-step explanation:
The first is not a function ( the flower-looking one) ...it does not pass the 'vertical line test'
A certain amount of money wa divided between Jaya and jyoti in the ratio 3:4. If jaya recieved R 2700,then how much wa the total
Using the ratio provided and the value divided for Jaya and with simple arithmetic, The answer is 6300.
What do you mean by ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
What do you mean by proportion?Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10.
ratio = 3:4
for Jaya,
3x=2700
x=2700/3
x=900
total = 3x+4x
=3*900 + 4*900
=6300
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in a factorial anova, compared to a design with only one independent variable, a major modification of using anova to analyze variability is that the sources of
A t-test cannot cover more than one group. This has to do with the underlying method used to calculate the test value.
Explain about t-test?
The t-test is designed to compare the means of two populations based on the means of the two samples. (any sample from either population).
The most important observation is that the t-test computes the difference between two sample means.
If you have trouble understanding 'variance', you can use the word standard deviation from the previous text to get your points.
In other words, there is more than one difference between the groups, but we want one measure of Total Difference Between Groups. The t-test cannot do that.
So the procedure for groups of three or more is: Run ANOVA first. As a second step, if you have reason to believe that differences exist (based on this test), you can use the t-test to determine where those differences lie.
A t-test cannot cover more than one group. This has to do with the underlying method used to calculate the test value.
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Sergio poured 4/5 of the soda from a 2 liter bottle for his guests. How much soda in liters is still left in the bottle
The soda still left in the bottle is given as 4 liters in 2-liter bottle.
As mentioned, Sergio poured 4/5 of the soda from a 2-liter bottle for his guests.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The soda left in the bottle will be the difference of the total quantity and the quality of the soda poured. So,
= 20 - 4/5 × 20
= 20 - 16
= 4
Thus, the soda still left in the bottle is given as 4 liters of a 2-liter bottle.
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Describe all the positive integers that would make (32)x greater than 39. Explain your reasoning
The positive integers that will make 32x greater than 39 are
2 3 4 5 6 ....... ∞
How to find the positive integersAn integer is a whole number that can be positive, negative, or zero and is not a fraction.
There are three types of integers, they are
ZeroPositive integers or natural numbersNegative integers or additive invers of natural numbersThe statement, given in the problem is written in equation form using the inequality > which represents greater than to be
32x > 39
The is solved as follows
32x > 39
x > 39 / 32
x > 1.219
hence the integers are 2 to infinity represented by the symbol ∞
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You might need:
Nizhoni adds water at a constant rate to a 2 L reservoir in a water filtering pitcher until it is full.
At the same time, water goes through the filter and out of the reservoir, into the pitcher. It takes
5/11 minutes to fill the reservoir, then another 3 minutes for the reservoir to empty.
3 1/3 minutes for it to empty. at what rate does nizhoni add water to the reservoir?
At the rate of 4 2/5 L of water is added into the reservoir per minute.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
As It takes 5/11 minutes to fill the reservoir.
So, the rate at which Nizhoni adds water to the reservoir.
Rate= Volume/ Time taken
Rate = 2 L/ (5/ 11)
= 2 x 11/5
= 22/5 L/ min
= 4 2/5 L/ min.
Hence, at the rate of 4 2/5 L of water is added into the reservoir in one minute.
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Answer: 5
Step-by-step explanation: I answered this question.
The firt time larry play a video game, he i knocked out in 30 econd. The next time he play 30 econd longer than the econd. Larry i able to play 30 econd longer each game. It cot him 25 cent to play each game. How much will it cot Larry to lat 4 minute before he i knocked out?
This is calculated by multiplying the cost of each game (25 cents) by the number of times Larry will have to play (16 times) to last 4 minutes. It will cost Larry $1.00 to last 4 minutes before he is knocked out.
Larry started playing a video game and was knocked out in 30 seconds. He then decided to play again and this time he was able to play 30 seconds longer than the previous game. He kept repeating this and was able to play 30 seconds longer each time. Since it cost him 25 cents to play each game, it will therefore cost him $1.00 to last 4 minutes before he is knocked out. This is calculated by multiplying the cost of each game (25 cents) by the number of times Larry will have to play (16 times) to last 4 minutes. Therefore, 25 cents x 16 = $1.00.
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the perimeter of a triangle is 49 feet. one side of the triangle is 7 feet shorter than the second side. the third side is 4 feet shorter than the second side. find the length of each side
the perimeter of a triangle is 49 feet. The triangle's one side is seven feet shorter than its other. the length of each side , Second side: 16 feet, First side: 9 feet,Third side: 12 feet
To find the length of each side of the triangle, we need to start by looking at the perimeter, which is 49 feet.
Perimeter = 49 feet
Second side = 49 - 4 = 45 feet
First side = 45 - 7 = 38 feet
Third side = 45 + 4 = 49 feet
We know that the third side is 4 feet shorter than the second side, so we can subtract 4 feet from the perimeter to find the length of the second side, which is 16 feet. Then, we know that the first side is 7 feet shorter than the second side, so if we subtract 7 feet from the second side we can find the length of the first side, which is 9 feet. Finally, to find the length of the third side, we add 4 feet to the second side, which gives us 12 feet. Therefore, the length of each side of the triangle is 9 feet, 16 feet, and 12 feet.
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Ticket to the zoo cot $25 for adult and $10 for children. The total ticket ale one day were $47,750. The number of children, c, who viited the zoo wa 270 more than 6 time the number of adult, a, who viited. Write and olve a ytem of equation to find the total number of viitor to the zoo that day
The total number of visitors to the zoo that day was 47,750, with 6,780 adults and 40,680 children.
Let a = number of adults
Let c = number of children
a + c = 47,750
c = 6a + 270
Substitute c in the first equation:
a + 6a + 270 = 47,750
7a = 47,480
a = 6,780
Substitute a in the second equation:
c = 6(6,780) + 270
c = 40,680
The total number of visitors to the zoo that day was 47,750, with 6,780 adults and 40,680 children.
The zoo was visited by 47,750 individuals. 40,680 of these visitors were youngsters under the age of 17 while 6,780 were adults 18 years and older.
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What is the measure of the base of the rectangle if the area
of the triangle is 32 ft²?
4 ft
Answer:
16
Step-by-step explanation:
16
a conical salt spreader is spreading salt at a rate of 3 cubic feet per minute. the diameter of the base of the cone is 4 feet and the height of the cone is 5 feet. how fast is the height of the salt in the spreader decreasing when the height of the salt in the spreader (measured from the vertex of the cone upward) is 3 feet? give your answer in feet per minute.
Answer:
-25/(12π) ft/min ≈ -0.663 ft/min
Step-by-step explanation:
You want the rate of change of height of the salt in a cone with height 5 ft and diameter 4 ft, filled 3 ft up from the vertex, and decreasing in volume at the rate of 3 cubic feet per minute.
Rate of change of heightThe rate of change of height is the rate of change of volume, divided by the surface area.
Surface areaThe given cone dimensions tell you the radius is 2/5 of the height of the cone, so the radius of the surface when it is filled to a depth of 3 ft is ...
r = (2/5)(3 ft) = 1.2 ft
The area of the surface is the area of a circle with this radius:
A = πr² = π(1.2 ft)² = 1.44π ft²
ApplicationThen the rate of change of height is ...
h' = V'/A
h' = (-3 ft³/min)/(1.44π ft²) = -25/(12π) ft/min ≈ -0.663 ft/min
The graph shown here is the graph of which of the following rational functions?
Answer:
C
Step-by-step explanation:
If you put in 1 for x the denominator will be o
Lori coaches the softball team at school. This year 40 students tried out for the team. After a week of tryouts, 40% of the students that tried out made the team. The remaining students continued to try out for the team. After the second week of tryouts, 25% of the remaining students made the team. How many total students made the team this year?
Answer:
In the first week, 16 students made the team and in the second week, 4 students made the team.
Step-by-step explanation:
First, multiply the 40 students by 0.40 which will give you 16. Then, since 25% of the remaining students made the team multiply 16 by 0.25 which gives you 4. Add 4 and 16 together and 20 total students made the team.
I hope this helps, have an amazing day! Brainliest?
Need Help!!!!!!!!! Solve for side similar triangle
Answer:
UT=11
Step-by-step explanation:
UV is twice the length of RS. Since UV=11 then RS=22. UT is also twice the length of RS. So if RS=22, then UT=[tex]\frac{1}{2} * 22[/tex]. UT=11
Using the "split" string method from the preceding lesson, complete the get_word function to return the {n}th word from a passed sentence. For example, get_word("this is a lesson about lists", 4) should return "lesson", which is the 4th word in this sentence. Hint: remember that list indexes start at 0, not 1.
The function to return the nth word of the sentence will be given as -
def get_word(sentence, n):
# Only proceed if n is positive
if n > 0 :
words = sentence.split()
# Only proceed if n is not more than the number of words
if n <= len(words) :
return words[n-1]
return("")
According to the data given in the question we can see that the method to obtain the string will be the split string method,
According to the split string method, we separate distinct parts of the strings based on the delimiter using signs such as comma(,), hyphen(-), whitespace), etc.
To extract the 4th word in the sentence, we will assume position 3 for the 4th word.
#The function to print lesson counting from 0,
print(get_word("This is a lesson about lists", 4))
print(get_word("This is a lesson about lists", -4))
#No printing as the first condition is not met
print(get_word("Now we are cooking!", 5))
#No printing occurs as it also does not meet the condition of the second statement.
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19. Eva is offered an interest rate of 5.28% for
her savings with simple compounding. What
is her equivalent rate with continuous
compounding?
[A] 0.0543 or 5.43%
[B] 0.0515 or 5.15%
ICI 0.5031 or 50.31%
[D] 0.3478 or 34.78%
E] 0.0508 or 5.08%
The rate of interest for simple compounding if Louis is offered an interest rate of 6.35% for an investment with continuous compounding, is 0.0515 or 5.15%, so option B is correct.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
Eva is offered an interest rate of 5.28% for her savings with simple compounding,
Here, P will be the same, the amount will be the same and the time will be the same,
The amount in simple compounding = The amount in continuous compounding
[tex]p(1 + r)^t = pe^{Rt}[/tex]
Here, R is the rate of interest for simple compounding,
[tex]1 + 0.0528 = e^R[/tex]
1.0528 = [tex]e^R[/tex]
R = ln 1.0528
R = 0.0515
Thus, the rate of interest for simple compounding is 5.15%
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A website is selling packs of
playing cards for $2.07. The site
got the packs of playing cards at a
cost of $0.69. What is the mark-
up, as a percentage?
Answer:
66 2/3 % Markup
Step-by-step explanation:
1) Subtract the two numbers.
2.07 - 0.69 = 1.38
2) Divide the difference of the subtraction problem by 2.07, the value of the marked up cards.
1.38/2.07 = 2/3
3) Because percent means divided by 100, multiply 2/3 (0.6666...) multiplied by 100 as a fraction because x/100 x 100 = x.
66 2/3 % Markup
Mio bought x grams of flour. Sol bought 3 8 more than that. Select ALL of the equations that represent the relationship between the amount of flour that Mio bought, x, and the amount of flour that Sol bought, y.
1) y= 3/8x
2) y= 5/8x
3) y= x+3/8x
4) y= x-3/8x
5) y= 11/8x
The equation that correctly represents the problem is 3) y = x+ 3/8x
What is a linear equation with two variables?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.
Given here, mio brought x grams and sol bought 3/8 times more than x hence, sol bought y = x + 3/8x
Hence, the correct option is 3) y=x+3/8x
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PLEASE HURRY! Gianna has 23 feet of leftover wood to use to build a bookshelf. The design calls for two side pieces that are each 4 feet in length, plus a top piece, a bottom piece, and three shelves that are equal in length.
How long is each shelf?
___ feet
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A triangle has sides of length 11cm, 10 cm, and 9cm.
Calculate the largest angle in the triangle.
Answer: In right angled triangle
Length of square of biggest side it's equal to length sum of square of two other sides
(11)² = (9)² + (10)²
121 = 81 + 100
121 = 181
So it is not a right angled triangle
Step-by-step explanation:
Passing through (3, 4) and perpendicular to the line whose equation is y=1/9x+8; slope-intercept form
Answer:
y = -9x + 31
Step-by-step explanation:
We can find the slope of the second line using the formula
[tex]m_{2}=-\frac{1}{m_{1} }[/tex], where m2 is the slope of the second line and m1 is the slope of the first.
Thus, since 1/9 is the slope of the first line, we have
[tex]m_{2}=-\frac{1}{(1/9)} \\m_{2}=-9[/tex]
Since the slope intercept form is y = mx + b, where b is the y-intercept, we need to it in the second line by plugging in (3, 4) for x and y and -9 for m:
[tex]4=-9(3)+b\\4=-27+b\\31=b[/tex]
Simplify 5r + 4p - 8r + 6
Answer: -3r+4p+6 or 4p-3r+6
Step-by-step explanation:
Combine like terms
5r-8r=-3r
4p
6
-3r+4p+6
Answer:
–3r + 4p + 6
Step-by-step explanation:
5r + 4p – 8r + 6
= 5r – 8r + 4p + 6
= –3r + 4p + 6
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A manufacturing company is producing dinner plates with a radius of 6 inches. They plan to put a gold edge on each plate.
a. Determine how much gold edging they will need for each plate.
b. How much gold edging will they need for a box of 24 plates?
C. In total, how much would it cost the company to put the gold edging around the plates if it costs $3.25 per 100 inches of gold edging?
a) The amount of gold edging that they will need for each plate is of: 37.7 inches.
b) The amount of gold edging for a box of 24 plates is of: 904.8 inches.
c) The total cost for the box of 24 plates is given as follows: $29.41.
How to obtain the amount of gold edging?The gold edging is placed around the circumference of the circular plate, hence the circumference needs to be obtained.
The circumference of a circle of radius r is given by the multiplication of 2π and r, as follows:
C = 2πr.
The radius of the plate in this problem is given as follows:
r = 6 inches.
Hence the circumference of the plate in this problem is given as follows:
C = 2π x 6 = 12π inches = 37.7 inches.
For the box of 24 plates, the amount needed is given as follows:
24 x 37.7 = 904.8 inches.
It costs $3.25 per 100 inches of gold edging, hence the total cost for the 24 plates is obtained as follows:
904.8/100 x 3.25 = $29.41.
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q- yashwant participated in a chess league, the outcome of each game is a win, a loss or draw, he lost 10% of the games he played and won twice the number of games he lost. if he lost a total of 2 games, how many games did he draw?
pls ans
He played a total of 20 games with 2 lost,4 win and 14 draw matches.
Calculation:Given that
Yashwant participated in a chess league,
Outcomes of the chess game can be win or loss or draw.
And Yashwant has lost 10% of the games he played.
Let us think that Yashwant has played 'x' number of games in this chess league.
That means Yashwant has lost [tex]\frac{x}{10}[/tex] number if games in the chess league.
And they also given that he just lost total of 2 games only;
That implies
[tex]\frac{x}{10} =2\\x=20[/tex];
That gives us value of x, which is the total number of games played by Yashwant in chess league.
They gave that number of wins is double the number of losses;
That gives us 2×2(Number of games Yashwant lost)=4 is number of games Yashwant won in the chess league.
As Total=Wins+ Loss+ Draw;
[tex]20=4+2+Draw\\Draw=14[/tex]
That means Yashwant has won 4, lost 2, Drawn 14 games in the league.
He played a total of 20 games with 2 lost,4 win and 14 draw matches.
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Q) Moira and Non share some money in the ratio 3 : 7.
Non gets $28 more than Moira.
a) What is the total amount of money that they share?
b) How much money do they each get?
The 3 : 7 ratio into which the amount of money is shared by Moira and Non where Non gets $28 more than Moira, indicates;
a) The total amount of money they share is $70
b) The amount Moira gets is $21, while the amount Non gets is 3 : 7
What is a ratio?A ratio is a quantitative expression that specifies the number of times a value is contained within another value.
The ratio by which Moira and Non share the money = 3 : 7
The amount Non gets = 28 + The amount Moira gets
Let x represent the amount Moira gets, therefore;
The amount Non gets = 28 + x
The specified ratio indicates;
[tex]\dfrac{x}{28 + x} = \dfrac{3}{7}[/tex]
7·x = 3 × (28 + x)
7·x = 84 + 3·x
7·x - 3·x = 84
4·x = 84
x = 84 ÷ 4 = 21
x = 21
The total amount of money = The amount Moira gets + The amount Non gets
Therefore; The total amount of money = x + 28 + x = 2·x + 28
2·x + 28 = 2 × 21 + 28 = 70
The total amount of money = $70
b) The amount of money Moira gets, x = $21
The amount of money Non gets = $28 + $21 = $49
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-5 feet from the urface of the water and plan to explore a hipwreck that i at -75 feet from the urface. If he move at a rate of -8 feet per minute, how many minute doe it take the diver to reach the hipwreck? The diver will take
Using the provided values for the depth and moving rate of the driver , We can use simple unitary method and the answer is 8.75 minute.
What do you mean by unitary method?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
What do you mean by arithmetic operators?The arithmetic operator is used to carry out mathematical operations on the provided operands, including addition, subtraction, multiplication, division, and modulus.
initial depth = 5 feet
shipwreck at 75 feet
depth to travel = 75-5 = 70 feet
rate = 8 feet/minute
time = 70/8
=8.75 minute.
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suppose the school parents club compited a cookbook. One company charges $750 to make a master copy and 25 for additional copy the total selling price depends on how many copies are ordered write a function rule and create a table of values to graph the value how much will you save per book by ordering 400 books instead of 100 books
The function rule for the total cost of the cookbook is C(x) = 750 + 25x, where x is the number of copies ordered.
# of Copies Ordered Total Cost
100 875
200 1000
300 1125
400 1250
If 400 copies are ordered instead of 100, the total cost would be $1250 instead of $875, saving $375 per book.
10. Solve the following by substitution or elimination.
3x + 2y = 6
- x + 2y = - 2
Answer:
x=___y=_
OR: no solution/ infinite solutions
Please help me it’s for algebra !
Answer:
x=2
y=0
Step-by-step explanation:
-x+2y= -2
-2y. -2y
-x= -2-2y
/-1. /-1 /-1
x=2+2y
3(2+2y)+2y=6
6+6y+2y=6
6+8y=6
-6. -6
8y=0
/8 /8
y=0
3x+2(0)=6
3x=6
/3. /3
x=2
hopes this helps
Pleaseeee helppp meee
Answer: 603
Step-by-step explanation:
3.14 x radius x radius x 12